He dismissed the results from the Iowa caucuses on Monday, and admitted that "maybe in the short term," Sen. Marco Rubio's strong night could take away from Kasich's prospects in New Hampshire. Kasich finished eighth in Iowa with two percent of the Republican vote; Rubio finished in third place, a percentage point behind Donald Trump.

In an interview with Boston Herald Radio's "Herald Drive" program on Tuesday, Kasich expressed the same sentiment about getting out of the race if he doesn't do well.

"Our campaign will take a look at how we do on the 10th of February and then we'll make a decision," Kasich said. "We expect to finish high. I've said all along, if we get smoked up there, you know, I'm going back to Ohio. We don't think that's going to happen."